We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Generalized hidden symmetries of higher-dimensional rotating black holes

Presented by David Kubiznak, DAMTP Cambridge

19 February 2010 13:00 in CM221

The 4D rotating black hole described by the Kerr geometry possesses many of what was called by Chandrasekhar "miraculous" properties. Most of them are related to the existence of a fundamental hidden symmetry of a principal conformal Killing-Yano (PCKY) tensor. In my talk I shall demonstrate that, in this context, four dimensions are not exceptional and that the (spherical horizon topology) higher-dimensional rotating black holes are very similar to their four-dimensional aunts. Namely, I shall present the most general spacetime admitting the PCKY tensor and show that is possesses the
following properties: 1) It is of the algebraic type D. 2) It allows a separation of variables for the Hamilton-Jacobi, Klein-Gordon, Dirac, and stationary string equations.3) When the Einstein equations with the cosmological constant are imposed the metric describes the most general known Kerr-NUT-(A)dS spacetime.

I will also discuss the generalization of Killing-Yano symmetries for spacetimes with natural "torsion 3-form", such as the black hole of D=5 minimal supergravity, or the Kerr-Sen solution of heterotic
string theory.

Contact or for more information